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Phase-lag mixed integral equation of a generalized symmetric potential kernel and its physical meanings in (3+1) dimensions.
Heliyon
February 2025
Mathematics Department, Faculty of Sciences, Umm Al-Qura University, Makkah, Saudi Arabia.
Currently, there has been no research conducted on the impact of time on the structure of the overall nucleus, nor has there been any investigation into the influence of time delay on the three-dimensional integral equation, considering the temporal changes. This research is being studied to understand its meaning. In order to analyze a phase-lag mixed integral equation (P-LMIE) in dimensions (3+1), in where is the position domain of integration and T is the time.
View Article and Find Full Text PDFReconstruction of vibration noise in plate structures based on Data-Physics driven model and transfer learning.
J Acoust Soc Am
January 2025
Urban Construction Center of Lucheng District of Wenzhou, Wenzhou, 325000, China.
The identification of vibration and reconstruction of sound fields of plate structures are important for understanding the vibroacoustic characteristics of complex structures. This paper presents a data-physics driven (DPD) model integrated with transfer learning (DPDT) for high-precision identification and reconstruction of vibration and noise radiation of plate structures. The model combines the Kirchhoff-Helmholtz integral equation with convolutional neural networks, leveraging physical information to reduce the need for extensive data.
View Article and Find Full Text PDFOptimizing droplet coalescence dynamics in microchannels: A comprehensive study using response surface methodology and machine learning algorithms.
Heliyon
January 2025
Institute for Nanomaterials, Advanced Technologies and Innovation, Technical University of Liberec, 46117, Liberec, Czech Republic.
Droplet coalescence in microchannels is a complex phenomenon influenced by various parameters such as droplet size, velocity, liquid surface tension, and droplet-droplet spacing. In this study, we thoroughly investigate the impact of these control parameters on droplet coalescence dynamics within a sudden expansion microchannel using two distinct numerical methods. Initially, we employ the boundary element method to solve the Brinkman integral equation, providing detailed insights into the underlying physics of droplet coalescence.
View Article and Find Full Text PDFEfficient stochastic simulation of piecewise-deterministic Markov processes and its application to the Morris-Lecar model of neural dynamics.
Biol Cybern
January 2025
Institute for Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24-25, 14476, Potsdam, Germany.
Piecewise-deterministic Markov processes combine continuous in time dynamics with jump events, the rates of which generally depend on the continuous variables and thus are not constants. This leads to a problem in a Monte-Carlo simulation of such a system, where, at each step, one must find the time instant of the next event. The latter is determined by an integral equation and usually is rather slow in numerical implementation.
View Article and Find Full Text PDFPaired correlations of dipolar liquid crystals: A mean-force-potentials approach.
Phys Rev E
November 2024
Institute for Problems in Mechanical Engineering of the Russian Academy of Science (IPME RAS), Bolshoy pr. V.O., 61, 199178 St-Petersburg, Russia.
Pair correlations for a polar liquid-crystal (LC) system have been theoretically investigated by means of integral equation approach. Using the dipolar Gay-Berne (GB) interactions between the molecules that composed the LC system, calculations of the nearest-neighbor (NN) and next-NN (NNN) correlators as well as the order parameters and the static dielectric coefficients were performed. It is shown that for a simple cubic packing, NN dipoles tend to be mutually antiparallel with respect to the central dipole, while the opposite trend was observed for NNN dipoles.
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